Binomial Theorem Part 5

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This is part 5 in our series on the binomial theorem for teacher candidates studying for the CSET Math examination.

You may have a problem on the CSET that asks for the first terms of an expansion and then to approximate. It’s really nothing new than what you’ve already learned.

Example:

What are the first four terms in the expansion of (1 - 2x)¹⁰

A mathematician and a physicist agree to a psychological experiment. The (hungry) mathematician is put in a chair in a large empty room and his favorite meal, perfectly prepared, is placed at the other end of the room. The psychologist explains, “You are to remain in your chair. Every minute, I will move your chair to a position halfway between its current location and the meal.” The mathematician looks at the psychologist in disgust. “What? I’m not going to go through this. You know I’ll never reach the food!” And he gets up and storms out. The psychologist ushers the physicist in. He explains the situation, and the physicist’s eyes light up and he starts drooling. The psychologist is a bit confused. “Don’t you realize that you’ll never reach the food?” The physicist smiles and replies: “Of course! But I’ll get close enough for all practical purposes!”

By Maureen Miranda
http://www.ACEtheCSET.com

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